n-Dimensional global correspondences of Langlands over singular schemes (II)

Details n-Dimensional global correspondences of Langlands over singular schemes (II) n-Dimensional global correspondences of Langlands over singular schemes (II)

2006-06-14

arxiv.org/abs/math/0606342v1

Mathematics

Representation Theory

117 pages

Scientific paper

A rather complete phenomenology of the singularities is developed according to a new algebraic point of view in the frame of Langlands global correspondences. That is to say,a process of: -singularizations and versal deformations of these, -singularizations and monodromies of these, is envisaged on all the sections of sheaves of differentiable (bi)functions on (bi)linear algebraic (semi)groups constituting the n-dimensional representations of the global Weil groups. To get the searched holomorphic and cuspidal representations,it is necessary to consider: -the resolutions of the singularities and the blowups of the versal deformations; -the resolutions of the singularities in the monodromy cases. Furthermore, the geometry of the versal deformations and of their blowups is studied, as well as the associated dynamics leading to the consideration of singular hyperbolic attractors and of singular strange attractors.

Affiliated with

Also associated with

No associations

Rating

n-Dimensional global correspondences of Langlands over singular schemes (II) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with n-Dimensional global correspondences of Langlands over singular schemes (II), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and n-Dimensional global correspondences of Langlands over singular schemes (II) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-197261